标题： 重新审视规范原理：迈向时空和内部规范相互作用的统一 显示英文标题

标题： Revisited gauge principle: towards a unification of space-time and internal gauge interactions

摘要： 在时空对称性的量子视角下，重新审视了最小耦合原理。这种修订在量子化群方法（GAQ）中得到了更好的实现，其中群上同调和群的扩张起着决定性作用。我们首先考虑电磁势的情况；伽利略和/或洛伦兹群通过“局部”U(1)群进行（非中心）扩张。这个群也可以看作是一个无限维群的中心扩张，其参数包括质量和电荷，在GAQ的作用下，该群导致了在电磁场存在下粒子的动力学。然后我们尝试通过将时空平移变为“局部”来研究粒子的引力相互作用。然而，将量子自由相对论粒子的真实对称性的时空子群——即由U(1)中心扩张的洛伦兹群——提升为“局部”的，会导致一种纯引力起源的类似电磁力的力。这是由于时空平移不是扩展的洛伦兹群的不变子群，并构成了时空和内部规范相互作用非平凡混合的初步尝试。 显示英文摘要

摘要： The minimal coupling principle is revisited under the quantum perspectives of the space-time symmetry. This revision is better realized on a Group Approach to Quantization (GAQ) where group cohomology and extensions of groups play a preponderant role. We firstly consider the case of the electromagnetic potential; the Galilei and/or Poincare group is (non-centrally) extended by the "local" U(1) group. This group can also be seen as a central extension, parametrized by both the mass and the electric charge, of an infinite-dimensional group, on which GAQ leads to the dynamics of a particle moving in the presence of an electromagnetic field. Then we try the gravitational interaction of a particle by turning into "local" the space-time translations. However, promoting to "local" the space-time subgroup of the true symmetry of the quantum free relativistic particle, i.e. the centrally extended by U(1) Poincare group, results in a new electromagnetic-like force of pure gravitational origin. This is a consequence of the space-time translations not being an invariant subgroup of the extended Poincare group and constitutes a preliminary attempt to a non-trivial mixing of space-time and internal gauge interactions.